We propose a new interpretation of Hubble law. Waves are observed in the observer space-time. It defines the observer proper time T. Space-time is composed of three spatial dimensions and three temporal parameters: proper-time s of the observed object, proper time T of the observer and integration time t (currently considered as relative time). Time origin is the birth of the universe. So, universe is stable; it can be seen as the comobile space of expansion theory. When changing space-time from the source to the observer, waves are seen cooling; this explains the redshift effect. The distance is defined as the product of the delay time with the local speed of light of the observer. The mistake between t and T can explain why universe is viewed as not only in expansion but also in acceleration whereas we think it is stable.
Pettini, M. (2014) The Hubble Diagram of Type 1A Supernovae Evidence for a Cosmological Constant. Physical Cosmology, Lecture 6. http://www.ast.cam.ac.uk/~pettini/Physical%20Cosmology/lecture06.pdf
